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Finding the Fourth Proportional to 2,874.19, 3,966.34 and 1,598.15

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Solution

The fourth proportional to 2,874.19, 3,966.34 and 1,598.15 is: 2,205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.19 : 3,966.34 = 1,598.15 : x
  2. Step 2: Convert to fraction form
    2,874.19/3,966.34 = 1,598.15/x
  3. Step 3: Cross multiply
    2,874.19x = 3,966.34 × 1,598.15
  4. Step 4: Simplify right side
    2,874.19x = 6,338,806.27
  5. Step 5: Solve for x
    x = 6,338,806.27/2,874.19
  6. Step 6: Final answer
    x = 2,205.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.